Question

WRITING Explain how to solve the system of linear equations

2x - 3y = -4 Equation 1
-5x + 9y = 7 Equation 2
by elimination

Answer 1

Explanation:

`2x - 3y = - 4.....(1) \\ - 5x + 9y = 7.....(2) \\ \\(1) * 5 \\ 10x - 15y = - 20.....(3) \\ (2) * 2 \\ - 10x + 18y = 14.....(4) \\ \\ (3) + (4) \\ 10x - 15y - 10x + 18y = - 20 + 14 \\ 3y = - 6 \\ y = - 2 \\ \\ (1) \\ 2x - 3 * ( - 2) = - 4 \\ 2x + 6 = - 4 \\ 2x = - 10 \\ x = ( - 10)/(2) \\ x = - 5`